Question

A carpet company advertises that it will deliver carpet within
15 days of purchase. A sample of 49 past customers is taken. The
average delivery time in the sample was 16.2 days. The standard
deviation of the population is known to be 5.6 days. Using alpha =
.025, answer the question below:

a) State the null and alternative hypotheses.
b) Compute the test statistic.
c) Using the p-value approach, what is your conclusion? State the
decision rule, your answer using the decision rule and wheter you
reject or do not reject null hypothesis.
d) Using the critical value approach, what is your conclusion?
State the decision rule, your answer using the decision rule and
whether you reject or do not reject null hypothesis.
e) Write a conclusion statement based on your answers above.
Statement must be more speficic than "reject" or "do not
reject".